Updated formula used to calculate Q

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miguel 2021-09-16 14:22:41 +10:00
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@ -7,7 +7,7 @@
<link rel="stylesheet" href="magloop.css"> <link rel="stylesheet" href="magloop.css">
</head> </head>
<body> <body>
<header>Miguel <a href="mailto:vk3cpu@gmail.com">VK3CPU</a> - Magloop Antenna Calculator V3</header> <header>Miguel <a href="mailto:vk3cpu@gmail.com">VK3CPU</a> - Magloop Antenna Calculator V4</header>
<section class="gridLayoutClass"> <section class="gridLayoutClass">
<div class="chart-container" style="position: relative;"> <div class="chart-container" style="position: relative;">
<canvas id="chartCanvas" class="chartCanvasClass"> <canvas id="chartCanvas" class="chartCanvasClass">
@ -65,8 +65,7 @@
</canvas> </canvas>
</div> </div>
<div class="notes"> <div class="notes">
<b><u>Notes:</u></b><br> <b><u>Notes:</u></b><br> The Magloop Antenna Calculator was developed to predict the characteristics of a small-loop (aka "magnetic loop" or "magloop")
The Magloop Antenna Calculator was developed to predict the characteristics of a small-loop (aka "magnetic loop" or "magloop")
antenna, given physical dimensions entered via slider widgets. It assumes the main loop is made from a round antenna, given physical dimensions entered via slider widgets. It assumes the main loop is made from a round
anodised copper or aluminium conductor. I developed this multi-turn capable magloop calculator to take advantage of the anodised copper or aluminium conductor. I developed this multi-turn capable magloop calculator to take advantage of the
touch-screens and high-speed of modern mobile phones, to allow users to get realtime feedback of the predicted touch-screens and high-speed of modern mobile phones, to allow users to get realtime feedback of the predicted
@ -112,6 +111,8 @@
<img src="I_loop.png" alt="magloop antenna loop current"><br> <img src="I_loop.png" alt="magloop antenna loop current"><br>
<br> <br>
<b><u>Change history:</u></b><br> <b><u>Change history:</u></b><br>
[16-Sep-21] : Updated equation used for Q to match the one use in the ARRL Antenna Book. Changed to V4. This will affect predictions for V_cap, I_loop and BW. Based on reading
"Impedance, Bandwidth, and Q of Antennas" by A D Yaghjian, IEEE Transactions on Antennas and Propagation, April 2005.<br>
[16-Sep-21] : Added equation graphics for V_cap and I_loop formulas.<br> [16-Sep-21] : Added equation graphics for V_cap and I_loop formulas.<br>
[12-Sep-21] : Set maximum values to Q, Vcap and I axes to stop autoscaling. Max Q set to 2000, Vcap to 20 kV and I to 100 A.<br> [12-Sep-21] : Set maximum values to Q, Vcap and I axes to stop autoscaling. Max Q set to 2000, Vcap to 20 kV and I to 100 A.<br>
[12-Sep-21] : Added formula/equation graphics in Notes section. A few more complex ones, such as effective capacitance and SRF, are still needed.<br> [12-Sep-21] : Added formula/equation graphics in Notes section. A few more complex ones, such as effective capacitance and SRF, are still needed.<br>
@ -344,7 +345,7 @@
const Xl = inductiveReactance(frequency); const Xl = inductiveReactance(frequency);
const Rl = lossResistance(frequency); const Rl = lossResistance(frequency);
const Rr = radiationResistance(frequency); const Rr = radiationResistance(frequency);
const Q = Xl / (Rl + Rr); const Q = Xl / (2.0 * (Rl + Rr));
return Q; return Q;
} }
@ -1020,7 +1021,7 @@
}, },
ticks: { ticks: {
beginAtZero: true, beginAtZero: true,
max: 20.0, max: 10.0,
}, },
min: 0.0, min: 0.0,
position: 'left', position: 'left',
@ -1075,7 +1076,7 @@
}, },
ticks: { ticks: {
beginAtZero: true, beginAtZero: true,
max: 3000.0, max: 1800.0,
}, },
position: 'right', position: 'right',
id: 'qID' id: 'qID'